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Finding the Fourth Proportional to 27,453.50, 41,181.24 and 7,733.78

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Solution

The fourth proportional to 27,453.50, 41,181.24 and 7,733.78 is: 11,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,453.50 : 41,181.24 = 7,733.78 : x
  2. Step 2: Convert to fraction form
    27,453.50/41,181.24 = 7,733.78/x
  3. Step 3: Cross multiply
    27,453.50x = 41,181.24 × 7,733.78
  4. Step 4: Simplify right side
    27,453.50x = 318,486,650.29
  5. Step 5: Solve for x
    x = 318,486,650.29/27,453.50
  6. Step 6: Final answer
    x = 11,600.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.